In this article we highlight the application of Operations Research (OR) at BASF in the area of supply chain management (SCM) through the use of selected examples with annual cost savings ranging between several hundred thousand and several million e. We address special characteristics of the process industry that have to be dealt with and identify future research needs. The examples cover stra...

let $g$ be a connected graph. the multiplicative zagreb eccentricity indices of $g$ are defined respectively as ${bf pi}_1^*(g)=prod_{vin v(g)}varepsilon_g^2(v)$ and ${bf pi}_2^*(g)=prod_{uvin e(g)}varepsilon_g(u)varepsilon_g(v)$, where $varepsilon_g(v)$ is the eccentricity of vertex $v$ in graph $g$ and $varepsilon_g^2(v)=(varepsilon_g(v))^2$. in this paper, we present some bounds of the multi...

The first general Zagreb index is defined as $M_1^lambda(G)=sum_{vin V(G)}d_{G}(v)^lambda$. The case $lambda=3$, is called F-index. Similarly, reformulated first general Zagreb index is defined in terms of edge-drees as $EM_1^lambda(G)=sum_{ein E(G)}d_{G}(e)^lambda$ and the reformulated F-index is $RF(G)=sum_{ein E(G)}d_{G}(e)^3$. In this paper, we compute the reformulated F-index for some grap...

In a prospective survey, 200 cases of operated chronic dacryocystitis were divided into three groups according to the kind of operation, and the respective results are as follows: Group I includes 100 cases in whom the lacrimal bone was removed (8mm x 8mm) and a 6mm diameter catheter was used (as a duct between the lacrimal sac and nasal cavity). The recurrence rate within one year was 24 ...

The decision-making process on humanitarian logistics deals with variables related to the flow and quality of supplies, since the receipt of emergency relief items, its classification, stock, separation and delivery. Consequently, this decision-making process is crucial for seeking the best results in the allocation of scarce resources for storage and transportation in humanitarian operations, ...

We prove that combinatorial demand functions are characterized by two properties: continuity and the law of demand.

Operations research (OR) is concerned with scientifically deciding how to best design and operate people–machine systems, usually under conditions requiring the allocation of scarce resources. This publication, one of a series, is offered to supervisors, lead people, middle managers, and anyone who has responsibility for operations planning in manufacturing facilities or corporate planning over...